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Finding the Fourth Proportional to 505.14, 696.92 and 330.59

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Solution

The fourth proportional to 505.14, 696.92 and 330.59 is: 456.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.14 : 696.92 = 330.59 : x
  2. Step 2: Convert to fraction form
    505.14/696.92 = 330.59/x
  3. Step 3: Cross multiply
    505.14x = 696.92 × 330.59
  4. Step 4: Simplify right side
    505.14x = 230,389.65
  5. Step 5: Solve for x
    x = 230,389.65/505.14
  6. Step 6: Final answer
    x = 456.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.